Find the expected value.Suppose that 1,000 tickets are sold for a raffle that has the following prizes: one $300 prize, two $100 prizes, and one hundred $1 prizes. What is expected value of a ticket?

A. $300
B. $0.60
C. $1
D. $100


Answer: B

Mathematics

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Solve the problem.A child throws a ball with a speed of 5 feet per second at an angle of 46° with the horizontal. Express the vector described in terms of i and j. If exact values are not possible, round components to the nearest thousandth.

A. -3.473i + 3.597j B. 3.597i - 3.473j C. 3.473i + 3.597j D. 3.597i + 3.473j

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Provide an appropriate response.What property is used to clear parentheses and write 7(x + 4) as 7x + 28?

A. Distributive property B. Identity property C. Commutative property D. Associative property

Mathematics

Solve for the missing values. Round money to the nearest cent, rate to the nearest tenth of a percent, and time to the nearest day.Principal: $54,117Interest: Rate: 11.5%Time:  daysMaturity value: $60,540

A. $6423; 347 days B. $6423; 372 days C. $6423; 413 days D. $6323; 371 days

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Translate the words into mathematics. Do not answer the question.What is the sum of 43 and41?

A. 43 + 41 B. 43 - 41 C. 41 ÷ 43 D. 43 ? 41

Mathematics